Details

Time bar (total: 5.4s)

sample84.0ms

Algorithm
intervals
Results
32.0ms86×body1280valid
20.0ms84×body640valid
12.0ms249×body80valid
5.0ms37×body320valid
2.0ms16×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
716627
842157
950027

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*l*
13×add-sqr-sqrt
10×*-un-lft-identity
7×pow1 add-exp-log associate-*r* add-cbrt-cube
6×add-cube-cbrt
4×add-log-exp unswap-sqr
3×+-commutative pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ *-commutative flip-+ distribute-lft-out
1×sum-log
Counts
2 → 50
Calls
2 calls:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
18.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp (- 0.0 im)) (exp im))
71.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify40.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0348485
11410431
25001430

prune106.0ms

Filtered
56 candidates to 40 candidates (28.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357

Merged error: 0b

Counts
57 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))))
0.0b
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.0b
(* (* 0.5 (sin re)) (exp im))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
72×associate-*l*
35×add-sqr-sqrt
33×*-un-lft-identity
22×associate-*r*
21×distribute-lft-out
19×add-exp-log
17×add-cube-cbrt
13×pow1 add-cbrt-cube
12×prod-exp
10×unswap-sqr
8×*-commutative
6×pow-prod-down cbrt-unprod
5×add-log-exp
2×exp-sum
1×+-commutative sub-neg distribute-rgt-out flip3-+ exp-diff associate-*r/ sum-log flip-+
Counts
3 → 102
Calls
3 calls:
35.0ms
(+ (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))))
14.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))

series176.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))))
44.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
40.0ms
(* (* 0.5 (sin re)) (exp im))

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0420800
11692724
25002716

prune201.0ms

Filtered
111 candidates to 77 candidates (30.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done011
Total1113114

Merged error: 0b

Counts
114 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (- 0.0 im)) 3)
0.3b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
0.3b
(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
7.2b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
1057×*-un-lft-identity
606×associate-*l*
364×times-frac
320×distribute-lft-out
244×add-sqr-sqrt
239×distribute-lft-out--
189×associate-*r*
112×add-cube-cbrt
67×unswap-sqr
63×pow-unpow
60×sum-cubes
37×*-commutative
35×unpow-prod-down
28×associate-/l*
19×add-exp-log add-cbrt-cube
13×associate-/r*
11×difference-of-squares
10×pow1
8×distribute-rgt-out-- exp-diff associate-/r/
6×pow-pow associate-*r/ frac-add prod-exp cbrt-unprod add-log-exp
5×exp-prod
4×flip3-- flip--
3×cbrt-undiv flip3-+ div-exp pow-prod-down flip-+
2×+-commutative distribute-rgt-in frac-times sub-neg distribute-lft-in swap-sqr exp-sum associate-*l/ pow-exp associate-/l/
1×pow-to-exp frac-2neg diff-log unpow3 clear-num div-inv rem-cube-cbrt sqr-pow
Counts
4 → 537
Calls
4 calls:
5.0ms
(pow (exp (- 0.0 im)) 3)
91.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
25.0ms
(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
21.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(pow (exp (- 0.0 im)) 3)
229.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
105.0ms
(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
48.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify146.0ms

Algorithm
egg-herbie
Counts
549 → 549
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0136014787
1500114169

prune729.0ms

Filtered
549 candidates to 174 candidates (68.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5490549
Fresh000
Picked011
Done022
Total5493552

Merged error: 0b

Counts
552 → 3

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s2947×body1280valid
600.0ms2589×body640valid
431.0ms8602×body80valid
190.0ms1241×body320valid
69.0ms661×body160valid